Audrey uses 5/8 cup of fruit in each smoothie she makes.She makes 6 smoothies to share with her friends. How many cups of fruit does she use?

6 * 5/8 = ?

I need help to figure out how to do the problem to get a whole number and a fraction

To find out how many cups of fruit Audrey uses in total, we can multiply the fraction 5/8 by the number of smoothies she makes, which is 6.

First, we multiply the numerator (5) by the number of smoothies (6):
5 x 6 = 30.

Next, we keep the same denominator (8) from the fraction and write the final answer as the fraction 30/8.

However, we are usually asked to express the answer in simplest form, so we need to simplify the fraction.

To simplify the fraction 30/8, we need to find the greatest common divisor (GCD) of the numerator (30) and the denominator (8). The GCD of 30 and 8 is 2.

Dividing both the numerator and denominator by 2, we get:
30 ÷ 2 = 15
8 ÷ 2 = 4

So, the simplified fraction is 15/4.

To convert the fraction to a mixed number, we divide the numerator by the denominator:
15 ÷ 4 = 3 remainder 3

Therefore, Audrey uses 3 and 3/4 cups of fruit in total for the 6 smoothies.